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Finding the Fourth Proportional to 148,483.86, 204,905.19 and 83,952.10

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Solution

The fourth proportional to 148,483.86, 204,905.19 and 83,952.10 is: 115,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,483.86 : 204,905.19 = 83,952.10 : x
  2. Step 2: Convert to fraction form
    148,483.86/204,905.19 = 83,952.10/x
  3. Step 3: Cross multiply
    148,483.86x = 204,905.19 × 83,952.10
  4. Step 4: Simplify right side
    148,483.86x = 17,202,221,001.40
  5. Step 5: Solve for x
    x = 17,202,221,001.40/148,483.86
  6. Step 6: Final answer
    x = 115,852.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.